Inference of Inverted Exponentiated Lomax Distribution based on Step-Stress Partially Accelerated Life Test under Progressive Type II Censoring

Assar, Salwa M.; Almetwally, Ehab M.

doi:10.21608/esju.2023.228626.1017

Inference of Inverted Exponentiated Lomax Distribution based on Step-Stress Partially Accelerated Life Test under Progressive Type II Censoring

Document Type : Original Article

Authors

Salwa M. Assar ¹
Ehab M. Almetwally ²

¹ Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research , Cairo University

² Faculty of Business Administration, Delta University for Science and Technology, Gamasa

10.21608/esju.2023.228626.1017

Abstract

Due to the importance of the problem of testing the product units under stress higher than normal stress conditions, specially used in reliability analysis. In this paper, we discuss the problem of estimation with step stress partially accelerated life tests, the lifetime of testing items under use condition follow the inverted exponentiated Lomax distribution. The test is running under progressive Type-II censoring scheme, and the units drawn from the test were distributed as a binomial distribution. The model parameters and acceleration factor are estimated by maximum likelihood and Bayesian methods. The corresponding asymptotic confidence intervals as well as credible intervals are also constructed. The method for Bayesian estimates for the parameters of the IEL distribution under PTII censoring based on SS-PALT model is presented. Also, the theoretical results are assessed and compared through Monte Carlo simulation study. Two real data set are used to illustrate how the approaches will perform in practice. Finally, we reported some comments about numerical computation.

Keywords